The quarter-final tie between the two sides will be the fifth time they teams have been drawn against each other in as many years.
Carragher said, “My initial reaction was that I didn’t really want us to get another English team because Europe is about playing European teams.
“The Chelsea lads probably felt the same. I suppose we are sick of the sight of each other really! But we both know what kind of games they will be and we all realise it will be tough.
“I was desperate for us to get Bayern Munich because I wanted to play in their new ground. I like to play in different stadiums across Europe, but if we beat Chelsea we could still draw them in the semi-final.”
The two teams meet for the Champions League quarter-final first leg at Anfield tomorrow night (kick-off 7.45pm), with the return leg at Stamford Bridge next Tuesday night.